Answer:
First, we need to figure out the number of kilometers.
if 5 cm is equivalent to 125 kilometers in real life this means
1 cm is equivalent to 25 kilometers making the conversion much easier.
36 centimeters multiplied by 25 is 900, which means in real life the distance between Mr.Tomback's hometown and NYC is 900 kilometers.
900 km ÷ 80 kmh
= 11.25000000
= 11 hours
0.25000000 × 60
= 15.00000000
= 15 minutes
it will take him 11 hours and 15 minutes to get home to NYC
what is the solution to the system 3x+2y=-3 and 9x +4y=3
Answer:
x=3, y=-6
Step-by-step explanation:
As you know there are many ways to solve this question! First is Subsitutuion, Second is Elimination, and Third is Graphing!
Let’s begin with our detailed answer:
As you know subsitution is solving for a variable and then it can be used as a variable substitution to figure out x and y.
So in our system of equations:
[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]
I will just take one equation and solve for x but it actually dosent matter which variable you subsitutue and solve for.
[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]
To eliminate this question we can divide the top part by -3:
[tex]\left \ {-9x-6y=9}} \atop {9x+4y=3}} \right.[/tex]
Let‘s sum these system of equation and we get: [tex]y=-6[/tex]
We can now insert y as -6 and solve for x:
[tex]3x-12=-3[/tex]
[tex]x=3[/tex]
So, [tex]x=3, y = -6[/tex]
Answer:
(3, - 6 )
Step-by-step explanation:
3x + 2y = - 3 → (1)
9x + 4y = 3 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 9x - 6y = 9 → (3)
Add (2) and (3) term by term to eliminate x
0 - 2y = 12
- 2y = 12 ( divide both sides by - 2 )
y = - 6
Substitute y = - 6 into either of the 2 equations and solve for x
Substituting into (1)
3x + 2(- 6) = - 3
3x - 12 = - 3 ( add 12 to both sides )
3x = 9 ( divide both sides by 3 )
x = 3
solution is (3, - 6 )
What are the coordinates of B
Answer:
(-4,-5)
Step-by-step explanation:
The coordinates of the midpoint for x = sum of x/2=2
The coordinates of the midpoint for y = sum of y/2=-2
firstly to work out x coordinate:
[tex] \frac{x + 8}{2} = 2[/tex]
rearrange to find x which is -4
work out y coordinate:
[tex]\frac{y + 1}{2} = - 2[/tex]
rearrange to find y which is -5
so coordinates are (-4,-5)
Statement of cash flows (partial)
Write an equation of each sentence. Use n to represent the unknown number. You can use the back page for your solution. (2 points each) 11. Six increased by a number is twenty. 12. A number decreased by seven is four. 13. The sum of two consecutive numbers is thirty-one. 14. The sum of twice a number and two is thirteen. 15. One less than a number is eighteen. 16. The square of a number increased by four is twice the number. 17. Twice a number is one-half. 18. The product of a number and its half is eighteen. 19. The average of a number and ninety is seventy. 20. Two more than a number is twelve.
PLEASE HELP Me
Hoped this helped.
[tex]-BrainaicUser1357-[/tex]
Let the number be x
#11
[tex]\\ \sf\longmapsto x+6=20[/tex]
#12
[tex]\\ \sf\longmapsto x-7=4[/tex]
#13
[tex]\\ \sf\longmapsto x(x+1)=31[/tex]
#14
[tex]\\ \sf\longmapsto 2x+2=13[/tex]
#15
[tex]\\ \sf\longmapsto x-1=18[/tex]
#16
[tex]\\ \sf\longmapsto x^2+4=17[/tex]
#17
[tex]\\ \sf\longmapsto x^2/2=18[/tex]
#18
[tex]\\ \sf\longmapsto x+90/2=70[/tex]
Harry read 1/3 of a book on Saturday and three force of the remainder on Sunday. If he still had 75 pages left how many pages were in the book?
Which of the following is a rational number?
Points E, D, and H are the midpoints of the sides of ΔTUV. UV=82, TV=106, and HD= 82. Find HE.
Answer:
41
Step-by-step explanation:
53/106 = x/82 similar triangles
x=41
y = x^2+5x-3
y-x=2
What is the solution of the linear-quadratic system of equations
Answer:
(-5,-3)
(1,3)
Step-by-step explanation:
Solving with substitution
Set both equations to y = ...
y = x^2 + 5x - 3
----------------
y - x =2
y = x + 2
----------------
Substitute one of the Y's with the other Y = equation.
x + 2 = x ^2 + 5x -3
Set one side to 0
0 = x^2 + 4x -5
x^2 + 4x - 5 = 0
Simplify by factoring
(x-1) (x+5)
Get your X values
x-1 = 0
x = 1
x+5 = 0
x = -5
Plug in each X into one of the equations to get your Y value.
1st X
y = x + 2
y = 1 + 2
y = 3
When X = 1, Y = 3
2nd X
y = x + 2
y = -5 + 2
y = -3
When X = - 5, Y = -3
Your answers are (1,3) and (-5,-3)
Marsha is driving 630 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
Answer:
Marsha has driven 252 miles
Step-by-step explanation:
In order to figure out the problem, you take the total distance and multiply it by the fraction she has gone. This would be 630*(2/5) which would equal 252. Thus, Masha has driven 252 total miles.
Hope this helps!
Answer: 252 miles
Step-by-step explanation:
84/120 equivalent fraction
Answer:
7/10
this should work
Step-by-step explanation:
Birdseed costs $0.57 a pound and sunflower seeds cost $0.87 a pound. Angela Leinenbachs' pet store wishes to make a 30 pound mixture of birdseed and sunflower seeds that sells for $0.81 per pound. How many pounds of each type of seed should she use?
Step-by-step explanation:
x = pounds birdseed
y = pounds sunflower seeds
x + y = 30
0.57x + 0.87y = 30×0.81
with this last trick (to calculate the full cost of the whole 30 pounds based on the targeted individual price per pound) we bring both constraints into the play.
from the first equation we get
x = 30 - y
and we use that in the second equation :
0.57×(30-y) + 0.87y = 30×0.81 = $24.30
17.1 - 0.57y + 0.87y = 24.3
0.3y = 7.2
y = 24
x = 30 - y = 30 - 24 = 6
she uses 6 pounds of birdseed and 24 pounds of sunflower seeds.
What is 180 in./sec in m/min?
274.32 is the answer. Tell me if I need to be more precise.
Help me out please ???????
Answer:
I think it's 33.
Hope that helps you.
Step-by-step explanation:
it will be 33 because the interquartile we give it by Q3 - q1
Q3 median of 84 plus 90 divided by 2 equal 87
q1 equal 54
how can I simplify of 9/20:3/5 please explain step by step
Answer:
Mark as brainlist
Step-by-step explanation:
Steps for dividing fractions
Find the reciprocal of the divisor. Reciprocal of 35: 53.
So, 920 ÷ 35 = 920 × 53.
= 9 × 520 × 3 = 4560.
After reducing the fraction, the answer is 34.
Answer:
3/4
Step-by-step explanation:
9/20:35=9/20/3/5
=9/20*5/3
=45/60
=simplify both numbers by 15
=3/4
14 14) Write an expression for the perimeter of a
rectangular room with sides x + 4 and
2x - 3
f
A) 3x + 7
C) 6x + 2
B) 3x + 1
D) 6x + 12
Check the picture below.
A father is 33 years old. Which is 3 less than 12 times his son's age. How old is the son?
Answer:
His son is 3 years old.
Step-by-step explanation:
33 years old ... 3 less than .... = 36
36/12 = 3
9. Given a scale factor of 3, find the coordinates for the dilation of a triangle with vertices at
(1 point)
(1 4). (4.5), and (2.0).
A 3.7). (7.8). (5.3)
B 3.4) (12,5), (6,0)
C 3.12). (12.15) (6.0)
D (112) (4.15) (2.0)
The coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).
If the coordinate (x, y) is dilated by a scale factor of k, the resulting coordinate will be at (kx, ky)Given the coordinate of the triangle (1 4). (4.5), and (2.0), if this coordinate is dilated by a factor of 3, the resulting coordinates will be at (3 12), (12.15), and (6.0).
Hence the coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).
Learn more on dilation here: https://brainly.com/question/10253650
Could somebody please explain this to me?
Answer: call 911
Step-by-step explanation: call 911
A parking garage charges $1.76 for the first hour and $0.50 for each additional hour or part of an hour. What is the maximum length of timo Tom can park in the garage if he wishes to pay no more than $2.76?
Answer: 3 hours
Step-by-step explanation:
This table shows the median age of
women who were first married in different
years. During which time interval did the
age increase at the greatest rate? What
was the rate of increase for that interval?
Year
1950 1980 1990 1995
2000
Age
20.3
22.0
23.9
24.5
25.1
(yr)
Answer:
1950-1980
Step-by-step explanation:
...........
I thought of a number. This number double is 7 less than 29. What is my number? hurry please
Answer:
11
Step-by-step explanation:
11*2=22
29-7 =22
Answer:
11
Step-by-step explanation:
Let x be your number
Is means equals
2x = 29-7
2x= 22
2x/2 = 22/2
x =11
Lashonda finished a race in 5 minutes. How many seconds is this
Answer:
300 seconds
Step-by-step explanation:
There are 60 seconds in a minute. If there are 5 minutes, you have to multiply 5 by 60.
5 x 60 = 300
-hope it helps
Answer:
360 sec
Step-by-step explanation:
this is because 60sec is one mintute
so 60x5= 360
An AC circuit operates at 60volts and 1000 Hz. The resistance is 500 ohms and the inductive reactance is 220 ohms. What is the current
The current flowing in the AC circuit is 0.11 A.
The given parameters:
Voltage in the circuit, V = 60 VResistance, R = 500 ohmsInductive reactance, Xl = 220 ohmsFrequency, f = 1000 HzThe impedance of the circuit is calculated as follows;
[tex]Z = \sqrt{R^2 + X_l^2} \\\\Z = \sqrt{500^2 + 220^2} \\\\Z = 546.26 \ ohms[/tex]
The current in the AC circuit is calculated as follows;
[tex]I = \frac{V}{Z} \\\\I = \frac{60}{546.26} \\\\I = 0.11 \ A[/tex]
Thus, the current flowing in the AC circuit is 0.11 A.
Learn more about AC circuit here: https://brainly.com/question/14341432
What is the third number in this sequence?
Step-by-step explanation:
x = the first number of the sequence
x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) = 519
6x + 1 + 2 + 3 + 4 + 5 = 519
6x = 504
x = 84
so, the third number is x+2 = 84 + 2 = 86
Help Me someone help
Answer:
5:1
Step-by-step explanation:
divide eatch side
Answer:
It's 1:5
Step-by-step explanation:
A farmer's total payment for tools and compost over the course of two years is $27,894. Write and
solve an equation to find the payment for the second year if the first year’s payment is $10,205.
Answer:
The second years payment is 17689.
Step-by-step explanation:
If the first year is $10,205 then you subtract 10205 from 27894 which is 17689.
Equation: $27894-$10,205= $17689
(a) 3 2. The seventh number in a sequence of numbers is 31 and each number after the first number in the sequence is 4 less than the number immediately preceding it. The 9th number in the sequence is: (b) 43 (c) 39 (d) 47
Answer:
23 because its supposed to be 8 numbers less
2.5 x 10^3 times what number is equal to 5 x 10^6?
Answer:
2
Step-by-step explanation:
Answer:
2000.
Step-by-step explanation:
First, calculate both sides. 2.5x10^3= 2500 and 5x10^6=5000000
then divide 5000000/2500 = 2000
Liz has 72 stamps in her stamp collection. Risa, who just started her collection, has 9 stamps. Liz’s collection is how many times larger than Risa’s? Choose the answer that has the correct equation AND the correct solution to the equation.
9x = 72; x = 8 times as many stamps
9 + x = 72; x = 63 times as many stamps
9x = 72; x = 7 times as many stamps
72x = 9; x = 8 times as many stamps
Answer:
9x = 72; x = 8 times as many stamps
Step-by-step explanation:
Answer:
9×=72;×=8 times as many stamps
Help , please ?? If you can thank you ..4 more
[tex]14+3c^2-15+c\\\\=14+3(4^2)-15+4\\\\=3(16)-1+4\\\\=48+3\\\\=51[/tex]